Please help!! An astronaut passes out when the centrifuge reaches an acceleration of 12 g. If the centrifuge has a radius of 11.5 m, at what speed will the astronaut pass out?

the speed of the astronaut is 36.78 m/s.

Explanation:

Given;

centripetal acceleration of the astronaut, = 12 g = 12 x 9.8 m/s² = 117.6 m/s²

radius of the centrifuge, r = 11.5 m

The speed of the astronaut is calculated as follows;

Therefore, the speed of the astronaut is 36.78 m/s.

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be

answer; equivalent to a one(1) horsepower motor;